Korea University · Materials Science
김준석 교수의 연구실은 다성분 유체역학과 계면 현상을 다루는 페지필드 모델을 중심으로, 상분리, 다상유체 흐름, 삼상접선, 레일리-테일러 불안정성 등 복잡한 유체 현상을 정밀하게 모의하는 수치해석 기법을 개발하고 있습니다. 특히, 열역학적으로 일관된 다성분 Cahn-Hilliard 모델과 나이퀴스트-스토크스 방정식의 결합을 통해 유체의 상호작용과 기계적 특성을 동시에 분석하는 데 중점을 두고 있으며, 조직공학 스캐폴드 설계 등 응용 분야에도 기여하고 있습니다. 고정밀·고안정성 수치 해법과 다중 격자 기반의 효율적 해법 개발을 통해 실제 응용에 적합한 모델링 기반 연구를 수행하고 있습니다.
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Abstract In this paper, we review the recent development of phase-field models and their numerical methods for multi-component fluid flows with interfacial phenomena. The models consist of a Navier-Stokes system coupled with a multi-component Cahn-Hilliard system through a phase-field dependent surface tension force, variable density and viscosity, and the advection term. The classical infinitely thin boundary of separation between two immiscible fluids is replaced by a transition region of a sm
We derive a thermodynamically consistent phase-field model for flows containing three (or more) liquid components. The model is based on a Navier-Stokes (NS) and Cahn-Hilliard system (CH) which accounts for surface tension among the different components and three-phase contact lines. We develop a stable conservative, second order accurate fully implicit discretization of the NS and threephase (ternary) CH system. We use a nonlinear multigrid method to efficiently solve the discrete ternary CH sy
The celebrated Cahn–Hilliard (CH) equation was proposed to model the process of phase separation in binary alloys by Cahn and Hilliard. Since then the equation has been extended to a variety of chemical, physical, biological, and other engineering fields such as spinodal decomposition, diblock copolymer, image inpainting, multiphase fluid flows, microstructures with elastic inhomogeneity, tumor growth simulation, and topology optimization. Therefore, it is important to understand the basic mecha
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